publication . Preprint . 2006

Pontryagin-Thom-Szucs type construction for non-positive codimensional singular maps with prescribed singular fibers

Kalmar, Boldizsar;
Open Access English
  • Published: 05 Dec 2006
Abstract
Comment: 14 pages, extended version
Subjects
arXiv: Mathematics::Algebraic TopologyMathematics::K-Theory and HomologyMathematics::Complex VariablesMathematics::Algebraic GeometryMathematics::Geometric Topology
free text keywords: Mathematics - Geometric Topology, Mathematics - Algebraic Topology, 57R45, 57R75
Download from
42 references, page 1 of 3

[1] Y. Ando, Cobordism of maps without prescribed singularities, arXiv:math.GT/0412234v1.

[2] , A homotopy principle for maps with prescribed Thom-Boardman singularities, Trans. Amer. Math. Soc. 359 (2007), 480-515.

[3] , The homotopy principle for maps with singularities of given K -invariant class, J. Math. Soc. Japan 59 (2007), 557-582.

[4] , Cobordisms of maps with singularities of a given class, arXiv:0707.4329v3.

[5] T. Ekholm, A. Szu˝cs and T. Terpai, Cobordisms of fold maps and maps with a prescribed number of cusps, Kyushu J. Math. 61 (2007), 395-414. [OpenAIRE]

[6] J. M. Eliashberg, On singularities of folding type, Math. USSR-Izv. 4 (1970), 1119-1134.

[7] M. Gromov, Stable mappings of foliations into manifolds, Math. USSR-Izv. 3 (1969), 671-694. [OpenAIRE]

[8] K. Ikegami, Cobordism group of Morse functions on manifolds, Hiroshima Math. J. 34 (2004), 211-230.

[9] K. Ikegami and O. Saeki, Cobordism group of Morse functions on surfaces, J. Math. Soc. Japan 55 (2003), 1081-1094.

[10] K. J¨anich, Symmetry Properties of Singularities of C∞ -Functions, Math. Ann. 238, 147-156 (1978)

[11] B. Kalm´ar, Cobordism group of Morse functions on unoriented surfaces, Kyushu J. Math. 59 (2005), 351-363.

[12] , Pontrjagin-Thom construction for singular maps with negative codimension, MSc degree-thesis, 2005.

[13] , Cobordism group of fold maps of oriented 3-manifolds into the plane, Acta Math. Hungar. 117 (2007), 1-25.

[14] , Fold maps, their geometric invariants, and computations of cobordism groups, PhD degree-thesis, 2008.

[15] , Fold maps and immersions from the viewpoint of cobordism, arXiv:math:0705.2731.

42 references, page 1 of 3
Any information missing or wrong?Report an Issue